Question

If a body having mass 40kg started moving initially with rest and it takes a velocity of 20m/sec in time 4 seconds. Find the value of force​

Answer 1

${\mathfrak{\underline{\purple{\:\:\: Given:-\:\:\:}}}}$

$\:\:\:\:\bullet\:\:\:\sf{Mass \ of \ the \ body \ (m) = 40 \ kg}$

$\:\:\:\:\bullet\:\:\:\sf{Final \ velocity \ of \ the \ body \ (v) = 20 \ m/s}$

$\:\:\:\:\bullet\:\:\:\sf{Initial \ velocity \ of \ the \ body \ (u) = 0}$

${\mathfrak{\underline{\purple{\:\:\:To \:Find:-\:\:\:}}}}$

$\:\:\:\:\bullet\:\:\:\sf{Force \ exerted \ by \ the \ body \ ( F)}$

${\mathfrak{\underline{\purple{\:\:\: Solution:-\:\:\:}}}}$

☯ Using 1st equation of motion

$\dashrightarrow\:\: \sf{v = u + at}$

$\dashrightarrow\:\: \sf{20 = 0 + a(4)}$

$\dashrightarrow\:\: \sf{20 = 4a}$

$\dashrightarrow\:\: \sf{\dfrac{\cancel{20}}{\cancel{4}} = a}$

$\dashrightarrow\:\: \sf{a = 5}$

☯ Now, Finding the force exerted

$\dashrightarrow\:\: \sf{F = ma}$

$\dashrightarrow\:\: \sf{F = 40 \times 5}$

$\dashrightarrow\:\: \sf{F = 200 \ N}$

☯ Hence,

$\:\:\:\:\star\:\:\:\sf{The \ force \ exerted \ by \ the \ body \ is \ 200N}$